For , consider the series . Find all values of for which the series is conditionally…

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

For

p>0

, consider the series

\displaystyle \sum_{n=2}^{\infty} \frac{(-1)^{n}}{n(\ln n)^{p}}

. Find all values of

p

for which the series is conditionally convergent.